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Simplifying (4 + -6i) + -9 = x + -1(9 + yi) Remove parenthesis around (4 + -6i) 4 + -6i + -9 = x + -1(9 + yi) Reorder the terms: 4 + -9 + -6i = x + -1(9 + yi) Combine like terms: 4 + -9 = -5 -5 + -6i = x + -1(9 + yi) -5 + -6i = x + (9 * -1 + iy * -1) -5 + -6i = x + (-9 + -1iy) Reorder the terms: -5 + -6i = -9 + -1iy + x Solving -5 + -6i = -9 + -1iy + x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'iy' to each side of the equation. -5 + -6i + iy = -9 + -1iy + iy + x Combine like terms: -1iy + iy = 0 -5 + -6i + iy = -9 + 0 + x -5 + -6i + iy = -9 + x Add '5' to each side of the equation. -5 + -6i + 5 + iy = -9 + 5 + x Reorder the terms: -5 + 5 + -6i + iy = -9 + 5 + x Combine like terms: -5 + 5 = 0 0 + -6i + iy = -9 + 5 + x -6i + iy = -9 + 5 + x Combine like terms: -9 + 5 = -4 -6i + iy = -4 + x Reorder the terms: 4 + -6i + iy + -1x = -4 + x + 4 + -1x Reorder the terms: 4 + -6i + iy + -1x = -4 + 4 + x + -1x Combine like terms: -4 + 4 = 0 4 + -6i + iy + -1x = 0 + x + -1x 4 + -6i + iy + -1x = x + -1x Combine like terms: x + -1x = 0 4 + -6i + iy + -1x = 0 The solution to this equation could not be determined.
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